A majority of Americans want to repeal or scale back Obamacare, though still only about one-third want a full repeal, according to a new poll from Gallup.

The poll shows 32 percent want full repeal, while another 20 percent say they would like to shrink the law through either major or minor changes. The 52 percent who want to downsize the law is only slightly higher than the 50 percent who said the same in October -- just as the problems with the HealthCare.gov Web site first came to light.

The number who want full repeal is up three points over that same span but remains on par with where it's been at in most polling.

Just 17 percent of people say they want to keep the law as-is. Another 20 percent say they want to change the law by expanding it.

Perhaps as interestingly, the law has become increasingly polarizing in recent months, with more Republicans saying they want a full repeal (57 percent in October vs. 68 percent today) and more Democrats saying they want to change the law by expanding it (22 percent in October vs. 34 percent today).

Among independents, repeal has actually become slightly less appealing over the last two months. While 33 percent of independents wanted repeal in October, 29 percent want it today.

Overall, though, the number of Americans who want to change the law by scaling it back hasn't changed much. In fact, it's actually lower than when Gallup asked the same question in January 2011. Back then, 57 percent wanted either full repeal (32 percent) or to scale it back (25 percent).